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223915232320 = 2651353825777
BaseRepresentation
bin1101000010001001100…
…0110100110001000000
3210101222001000100210121
43100202120310301000
512132034244413240
6250510520310024
722114554033253
oct3204230646100
9711861010717
10223915232320
1186a6434720a
1237490912314
1318165ba9010
14aba237309a
155c57cbe04a
hex3422634c40

223915232320 has 56 divisors (see below), whose sum is σ = 574213399704. Its totient is φ = 82676391936.

The previous prime is 223915232287. The next prime is 223915232323. The reversal of 223915232320 is 23232519322.

It can be written as a sum of positive squares in 4 ways, for example, as 3511273536 + 220403958784 = 59256^2 + 469472^2 .

It is not an unprimeable number, because it can be changed into a prime (223915232323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26908729 + ... + 26917048.

It is an arithmetic number, because the mean of its divisors is an integer number (10253810709).

Almost surely, 2223915232320 is an apocalyptic number.

223915232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223915232320 is an abundant number, since it is smaller than the sum of its proper divisors (350298167384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223915232320 is a wasteful number, since it uses less digits than its factorization.

223915232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53825807 (or 53825797 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The spelling of 223915232320 in words is "two hundred twenty-three billion, nine hundred fifteen million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 53825777 107651554 215303108 269128885 430606216 538257770 699735101 861212432 1076515540 1399470202 1722424864 2153031080 2798940404 3444849728 3498675505 4306062160 5597880808 6997351010 8612124320 11195761616 13994702020 17224248640 22391523232 27989404040 44783046464 55978808080 111957616160 223915232320